Understanding Total Derivative: Step-By-Step Guide

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Tom McCurdy
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Hi I was hoping someone could explain how this works to me

I ran across this example in a book

D(p(a)) = S(p(a),a)
Total derivative with respect a

[tex]\frac{dD(p(a))}{dp} \frac{dp}{da}= \frac{\partial S(p(a),a)}{\partial p} \frac{dp}{da} + \frac{\partial S(p(a),a)}{\partial a}[/tex]
 
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